查询词典 hilbert problems

Mathematics: Understands and applies basic and advanced properties of the concepts of geometry; Use the Pythagorean theorem and its converse and properties of special right triangles to solve mathematical and real-world problems; Understands the basic concepts of right triangle trigonometry (e.g., basic trigonometric ratios such as sine, cosine, and tangent); Uses trigonometric ratio methods to solve mathematical and real-world problems (e.g., determination of the angle of depression between two markers on a contour map with different elevations); Uses properties of and relationships among figures to solve mathematical and real-world problems e.g., uses the property that the sum of the angles in a quadrilateral is equal to 360 degrees to square up the frame for a building; uses understanding of arc, chord, tangents, and properties of circles to determine the radius given a circular edge of a circle without the center

数学：理解和应用几何概念的初级和高级特性；用毕德哥拉斯定理、逆定理以及特殊直角三角形性质解决数学的和现实世界的问题；理解基本的直角三角形三角比；运用三角比方法解决数学的或现实的问题。（等高线图上的两个标记之间的俯角确定）运用形体之间的关系及其属性解决数学的或现实的问题（利用四边形内角和等于360度来为建筑物框架取正，运用弧，弦，切线和圆的性质确定缺少中心的一段圆弧的圆心

After illustrating the concept of ERP and accounting informatization,We analyse the corporational accounting informatization's problems under the ERP environment.These problems are as follows :The firms don't have a clear picture of accounting informatization's ideas ; They are badly in need of specialized persons who possess abundant comprehensive abilities.In order to solve the above problems we come up with the following ideas

本文在阐述了ERP及会计信息化的相关概念基础上，分析了ERP环境下企业会计信息化的存在的问题，主要表现为：企业对会计信息化的理念的认识不到位；会计软件兼容性差；ERP环境下信息的开放性不足；ERP系统会计工作内部控制薄弱；缺乏具有综合能力的专业人员。

The psychological problems of corrector include the cognitive bias,emotional problems,and problems of relationship.

因为矫正过程的复杂性以及矫治工作者本身的有限性，矫治工作者在矫正过程中也容易出现心理问题，这些心理问题突出表现在认知偏差、情绪问题和人际关系冲突三个方面。

There are fourteen chapters, including introduction, plane stress and plane strain, two-dimensional problems in rectangular coordinates, two-dimensional problems in polar coordinates, photoelastic and moire experimental methods, two-dimensional problems in curvilinear coordinates, analysis of stress and strain in three dimensions, general theorems, torsion, bending of bars, axisymmetric stress and deformation in a solid of revolution, thermal stress, the propagation of waves in elastic solid media, at last there is an appendix on the application of finite-difference equations in elasticity.

全书共十四章，包括绪论、平面应力和平面应变、直角坐标中的二维问题、极坐标中的二维问题、光弹性与云纹实验方法、曲线坐标中的二维问题、三维应力和应变问题、一般定理、简单的三维弹性问题、扭转、杆的弯曲、回转体中的轴对称应力和变形、热应力、弹性固体介质中波的传播，最后有一附录，讲述差分方程在弹性理论中的应用。

The property of the algorithms on linear problems is studied and the Broyden's methods have been proved that they are not descant. More precisely, the distances between the sequences obtained by solving the linear problems and the solutions of the linear problems do not decrease under any vector norm.

笔者研究了将该方法用于求解线性方程组时的内在性质，否定了一个自然的推测，指出它在解线性方程组时不是一个下降的算法，即所得到的点列与方程组的解之间的距离在任何向量范数意义下都不具有单调下降性。

Meshless method is a new numerical method on problem for determining solution of partial differential equation. It is an approximation method based on nodes, and doesn't need a mesh entirely or partly. Then the discontinuous problems, the extremely large deformations problems, and movable boundary problems, etc, can be solved by use to meshless without the re-meshing techniques. And not only the calculated precision can be guaranteed, but also the calculated difficulty can be decreased.

无网格方法是求解微分方程定解问题的一种新的数值方法，它采用基于点的近似，可以彻底或部分地消除网格，因此在处理不连续、大变形、移动边界等问题时可以完全抛开网格重构，不仅可以保证计算的精度，而且可以减少计算难度。

These problems in reality can be classifies into two major categories: transport bilevel programming problems with deterministic user equilibrium constraints and transport bilevel programming problems with stochastic user equilibrium constrain...

此文首先从模型和算法的角度总结了有关这类问题已有的研究成果，接着介绍有关这方面的最新的研究进展，即如何把用户基于平衡原则下的交通网络优化问题的双层规划模型统一地转换为一个连续可微的单层最优化问题，并设计统一的算法。

These problems in reality can be classifies into two major categories: transport bilevel programming problems with deterministic user equilibrium constraints and transport bilevel programming problems with stochastic user equilibrium constraints.

这些问题大致上可以分为二大类：一类是涉及到确定性用户平衡原则；另一类是考虑随机性用户平衡原则。

Meanwhile, there arise some problems, including short of fund, difficulty in diffluence of employees, rigidity in thinking, problems with market-oriented products, fetter of theories, limitations of system, and potential problems caused by leadership ' s involving in contracting and nude purchase.

其中产生了一些较好的做法，如以技术要素、经营者才能和职务参股配股，职工购股置换身份，采用托管方式防止兼并可能的问题，打破狭隘地区观念引入外来大企业，收购方和被收购方优势互补，改制分步进行，向全国公开选聘管理人员等。

Based on these, the method for analysing the thermal-mechanical problems during the film depositon is proposed, and some mechanical problems are studied which include the asympototic analysis of the stress and deformation in a nonhomogeneous material layer on a substrate and the weight function method for interface crack problems as well as the mechanics of an interface toughening induced by the dilatant transformation.

本文对这些方面的研究及其成果进行了较全面的评述，并在考察了一个薄膜-基底系统（等离子喷涂ZrO〓陶瓷涂层的工艺研究）的生产研究的全过程的基础上，对薄膜沉积过程中的热-力学分析方法和包括表面异质层中应力变形的渐近分析方法、界面裂纹问题中的权函数方法、相变引起的界面增韧的力学分析方法等在内的一些薄膜-界面-基底系统的力学问题进行了研究。

I hope that this success is just the first in a long series.

我希望这只是成功的开始。

Three dimensional stresses on the interface of tire and soil, tire deflection and soil sinkage are measured.

测试轮胎——沙土界面上的三向应力、轮胎变形和沙土沉陷；建立考虑剪切应力对沙土承载特性产生影响的车轮牵引性能预测模型；分析车轮作用下土壤的纵向稳定性。